# Probability for Bank Exams

By : Akash Mishra

Updated : May 14, 2021, 0:35

A word that we usually use in the place of probability is chance. What are the chances for an event to occur? What are the chances that it won’t? These ‘chances’ are ‘probabilities’ of an event occurring or not. To put it simply, Probability is a measure of how likely a certain event is to occur. We express it in the form of fractions.

Probability is an important part of the Quantitative Aptitude section in Competitive Banking exams and Government examinations like SBI PO, IBPS CLERK, SBI SO, IBPS RRB, IBPS PO, SBI CLERK, NABARD GRADE A & B, RBI GRADE A & B, and more.

We’re going to provide you with Probability notes for bank exams, Probability online tests, Probability question and answers, Probability quiz for bank exams, Probability syllabus for bank exams, Probability formula for bank exams, Probability tricks for bank exams and more.

## Probability Topics for Bank Exams

 TOPIC EXPLANATION EXPERIMENT Any procedure or event that we carry out. It must have a possible set of outcomes. SAMPLE SPACE It is the well-defined set of possible outcomes. OUTCOME The result of the experiment. FAVOURABLE OUTCOMES The outcomes that are favourable to us. PROBABILITY RANGE Between 0 and 1 FORMULA FOR PROBABILITY Favourable number of outcomes/ Total number of outcomes.

## Tips & Tricks to Solve Probability Questions

Now that you’re aware of all the important terms of probability, you can find out the probability of an event occurring rather easily.

• AWARENESS: An important set of questions in Probability revolve around Cards and rolling a dice. You should be aware of the different suits in cards or the numbers on a dice. A usual set consists of 52 cards divided into the Red Suit and Black Suit, with 26 cards, respectively. The Red suite is further divided into Hearts and Diamond with 13 cards each. The Black Suite consists of Clubs and Spades with 13 cards each. The cards are further divided into the following categories:
• DIGIT CARDS: The cards from 2 to 10 are called Digit cards. There are 9-digit cards in every suite, and 36 in total.
• HONOR CARDS: King, Queen, Jack and Ace from different suits are called Honor cards. There are 4 of them in each suite and a total of 16 in one set.

Now, let’s talk about Dice. A basic die has 6 numbers on its 6 faces ranging from 1 to 6. Let’s determine the probability of getting the number 5 on a standard dice.

Possible outcomes = 1,2,3,4,5,6

So total possibilities = 6

Favourable outcomes = 1 (As 5 is only one in number)

As we know, Probability = Favourable outcomes/ Total number of outcomes = 1/6.

In case 2 dices are rolled, the possibilities are as follows:

 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6
• COMBINATION CONCEPT

Whenever we solve Probability questions, we use the Combination or Collection concept from Permutation and Combination. As we only need to collect or pick things in Probability, we only use Combination. So if you’re familiar with the concept of Combination, it’ll be easier for you to deal with Probability questions.

FORMULA FOR COMBINATION:

### Importance of Probability in Aptitude Section of Quantitative Bank Exams

• REPETITION OVER THE YEARS: Similar questions have been repeated over the years.
• FAMILIARITY: As you’ve studied probability over the years, you’re surely familiar with the basic concepts of Probability.
• TIME-SAVING: Due to the familiarity factor and simple formulas, you’ll end up saving time.
• HIGH SCORING: As the concept is fairly linear, Probability is a high scoring topic.

## Most Recommended Books for Probability

 QUANTITATIVE APTITUDE DR. R.S AGGARWAL QUANTITATIVE APTITUDE ARUN SHARMA

### Why Probability from BYJU'S Exam Prep?

Looking for a one-stop solution to prepare for Probability? Then choose BYJU'S Exam Prep. At BYJU'S Exam Prep, we believe that learning should be fun, not mundane. From our easy to learn videos, quizzes, and online mock test series, we provide our students with detailed solutions and quick hacks. We have an expert faculty who curate fresh questions, based on the latest exam pattern. You can expect quizzes, notes, syllabus, problems and solutions, previous year papers, and tips and tricks amongst other things.

Probability is a fairly easy topic to master if your concepts are clear. If you’re aware of the basic terminologies and practise daily from the previous year question papers, in addition to our quizzes, notes and tricks, you’ll surely be able to solve all the questions in no time. Don’t forget to check out the books recommended by us and the entire syllabus on our portal.

### PROBABILITY QUESTIONS

QUESTION 1. X and Y have an interview scheduled for Monday. The probability of X clearing the interview is 1/4 and the probability of Y clearing the interview is 1/2. What is the probability that:

1. BOTH A AND B WILL CLEAR THE INTERVIEW
2. EITHER OF THEM WILL CLEAR THE INTERVIEW
3. ONLY Y WILL CLEAR THE INTERVIEW

Sol. Probability of X clearing the interview = 1/4

Probability of Y clearing the interview = 1/2

1. Both will clear the interview = 1/4 x 1/2 = 1/8
2. Either will clear the interview = 1/2 + 1/4 = 3/4
3. Only Y will clear the interview = 1/2 x {1-1/4} = 1/2 x 3/4 = 3/8

QUESTION 2. There are 16 Girls and 12 Boys in a classroom. The teacher randomly calls out one of them. What is the probability that the student called out is a girl?

SOL. Total number of students = 28

Girls in the classroom = 16

P(E) = 16/28 = 4/7

QUESTION 3. A drawer contains 4 Red, 7 Black, and 3 White pencils. If the pencils are taken out randomly, then what is the probability that it is a White pencil?

SOL. Total number of Pencils = 4+7+3 = 14

Number of White Pencils = 3

P(E) = 3/14

QUESTION 4. Kartik forgot the last digit of his 11 digits mobile number. If he randomly dials the final 2 digits, after dialling the first 9 digits correctly, then what are the chances of dialling the correct number?

SOL. If the last 2 digits are dialled randomly, there are 10 digits that could be selected in 10 ways.

So required probability = (1/100)

QUESTION 5. Shreya throws the dice twice. What is the probability of her getting a total sum of 7 from both the throws?

SOL. Total number of outcomes = 6x6 = 216

Number of possible outcomes = (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6

Probability = 6/36

= 1/6

QUESTION 1. A coin is tossed thrice. What is the probability that at least one head is obtained?

SOL. Total outcomes = {HHH, HTH, THH, HHT, TTH, HTT, THT, TTT} = 8

Favourable outcomes = 7

So probability = 7/8

QUESTION 2. A card is drawn from a new pack of cards. What is the probability of getting a numbered card?

SOL. Total number of cards = 52

Numbered cards = 9 of each suit = 4x9 = 36

Probability = 36/52 = 9/13

QUESTION 3. Is it important to study Permutation & Combination before studying Probability?

SOL. As Combination is related to Probability, it’d be helpful to have basic knowledge of Permutation & Combination before starting Probability.

QUESTION 4. How do I prepare for Probability after studying theory?

SOL. Just practice some questions every day.

Posted by: Member since Jul 2019 GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com